The composite shape is made up of two identical triangles and two different rectangles. What is the are of the composite shape i

Question

Zigmanuir [339]

3 years ago

11

The composite shape is made up of two identical triangles and two different rectangles. What is the are of the composite shape i

n units squared?
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Mathematics

1 answer:

AfilCa [17] · Answer 1 · 2022-11-24T23:36:20+03:00

Answer: 72 u^2

<h3>Explanation:</h3>

What we know:

Both triangles are identical
Both rectangles are different
There are values in units^2 given
There are right angles

How to solve:

We need to find the area of at least one of the triangles and double it. Then, we need to find the areas of both rectangles. Finally, we need to add these areas to find the total area. The final area will be represented in units squared (u^2)

<h2>Process:</h2>

Triangles

Set up equation A = 1/2(bh)

Substitute A = 1/2(4*3)

Simplify A = 1/2(12)

Solve A = 6

Double *2

A = 12 u^2

Rectangles

Set up equation A = lh

Substitute A = (14)(3)

Simplify A = 42 u^2

Set up equation A = lh

Substitute A = [14-(4+4)](3)

Simplify A = (14-8)(3)

Simplify A = (6)(3)

Multiply A = 18 u^2

Total Area

Set up equation A = R1+R2+T

Substitute A = 42 + 18 + 12

Simplify A = 60 + 12

Solve A = 72 u^2

<h3>Answer: 72 u^2</h3>